c    Program to find Velocity potential by Relaxation Tecnique
   dimension u(10,10),v(10,10),div(10,10),ngrid(10,10),ogrid(10,10)
   real forcef,ngrid,ogrid,residue
   integer n,k
   print*,'Enter the size of grid excluding boundary:'
   read*,n
   print*,'Enter the distance between grid points :'
   read*,d
 
   do i=1,n+2
   u(1,i)=0
   u(i,1)=0
   u(n+2,i)=0
   u(i,n+2)=0
   v(1,i)=0
   v(i,1)=0
   v(n+2,i)=0
   v(i,n+2)=0
   div(1,i)=0
   div(i,1)=0
   div(n+2,i)=0
   div(i,n+2)=0
   ngrid(1,i)=0
   ngrid(i,1)=0
   ngrid(n+2,i)=0
   ngrid(i,n+2)=0
   ogrid(1,i)=0
   ogrid(i,1)=0
   ogrid(n+2,i)=0
   ogrid(i,n+2)=0
   enddo
   open (1,file='uwnd.dat')
   read (1,*)((u(i,j),j=2,n+1),i=2,n+1)
close(1)
   open (2,file='vwnd.dat')
   read (2,*)((v(i,j),j=2,n+1),i=2,n+1)
close(2)
   do i=2,n+1
   do j=2,n+1
   div(i,j)=((u(i+1,j)-u(i-1,j))+(v(i,j+1)-v(i,j-1)))/(2*d)
   enddo
   enddo
   write(*,*)'Divergence values'
   do i=2,n+1
   write(*,*) (div(i,j),j=2,n+1)
   enddo
   
   do i=2,n+1
   do j=2,n+1
   ngrid(i,j)=0
   enddo
   enddo
   k=1
  10    print*,'Trial :',k
 
   do i=2,n+1
   do j=2,n+1
   ogrid(i,j)=ngrid(i,j)
   enddo
   enddo
 
   do i=2,n+1
   do j=2,n+1
   residue=ogrid(i-1,j)+ogrid(i+1,j)+ogrid(i,j-1)+ogrid(i,j+1)-(4*ogrid(i,j))+(d*d*div(i,j))
 
   ngrid(i,j)=ogrid(i,j)+(residue/4)
   enddo
   enddo
 
   do i=2,n+1
   do j=2,n+1
   if((ngrid(i,j)-ogrid(i,j)).gt.0.0001) then
   k=k+1
   goto 10
   endif
   enddo
   enddo
    open(3,file="velocity_potential.txt")
    do i=2,n+1
    write(3,*)(ngrid(i,j),j=2,n+1)
    enddo
    write(*,*)'Velocity potentials are written in the file velocity_potential.txt'
   do i=2,n+1
   write(*,*) (ngrid(i,j),j=2,n+1)
   enddo
   stop
   end
Wednesday, December 3, 2008
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